find the general solution of Attachment 26657

i know this is a first order non linear differential eqn

but how to solve this equation

i divided by xy tried to make this exact and then find the integrating factor but i am unable to do so

help

Printable View

- January 22nd 2013, 12:51 AMprasumDifferential eqn
find the general solution of Attachment 26657

i know this is a first order non linear differential eqn

but how to solve this equation

i divided by xy tried to make this exact and then find the integrating factor but i am unable to do so

help - January 22nd 2013, 05:49 AMJJacquelinRe: Differential eqn
- January 22nd 2013, 06:40 AMprasumRe: Differential eqn
There is no typo in the problem

- January 22nd 2013, 07:27 AMtopsquarkRe: Differential eqn
- January 22nd 2013, 08:02 AMprasumRe: Differential eqn
i divided it by xy then separated dx and dy terms to get

ydx+xdy+2xy^3dx-x^2ydy=0

then

d(xy)+i can make this part exact by calculating the integrating factor in terms of y and then solving it - January 22nd 2013, 09:15 AMJJacquelinRe: Differential eqn